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What is the ratio of the area of the circumscribed square to the area of the inscribed square?
Wiki User
∙ 15y ago
If we denote the measure of the length side of the circumscribed square with a, then the vertexes of the inscribed square will point at the midpoint of the side, a, of the circumscribed square.
The area of the circumscribed square is a^2
The square measure of the length of the inscribed square, which is also the area of this square, will be equal to [(a/2)^2 + (a/2)^2]. Let's find it:
[(a/2)^2 + (a/2)^2]
= (a^2/4 + a^2/4)
= 2(a^2)/4
= a^2/2
Thus their ratio is:
a^2/(a^2/2)
=[(a^2)(2)]/a^2 Simplify;
= 2
Wiki User
∙ 15y ago
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A square is inscribed in a circle of radius 7cmFind the area of square and the area shaded?
The area of the square is 98 square cm. Assuming the shaded area is the remainder of the circle, its area is 55.9 square cm (approx).
What is he ratio of the perimeter to the area for a square with side length x?
The ratio is [ 4/x per unit ].
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What are the area and perimeter of a square inscribed inside a circle 30 ft in diameter?
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Two triangle are similar and the ratio of the corresponding sides is 4 3 What is the ratio of their areas?
area of triangle 1 would be 16 and the other triangle is 9 as the ratio of areas of triangles is the square of their similar sides
What is circumscribed area and inscribed area of regular polygon?
circumscribed means the polygon is drawn around a circle, and inscribed means the polygon is drawn inside the circle. See related links below for polygon circumscribed about a circle and polygon inscribed in a circle.
What is the difference between inscribed and circumscribed in integration?
When rectangles are inscribed, they lie entirely inside the area you're calculating. They never cross over the curve that bounds the area. Circumscribed rectangles cross over the curve and lie partially outside of the area. Circumscribed rectangles always yield a larger area than inscribed rectangles.
The side of a square is 20 cmfind the areas of the circumscribed and inscribed circles?
The radius length r of the inscribed circle equals to one half of the length side of the square, 10 cm. The area A of the inscribed circle: A = pir2 = 102pi ≈ 314 cm2 The radius length r of the circumscribed circle equals to one half of the length diagonal of the square. Since the diagonals of the square are congruent and perpendicular to each other, and bisect the angles of the square, we have sin 45⁰ = length of one half of the diagonal/length of the square side sin 45⁰ = r/20 cm r = (20 cm)(sin 45⁰) The area A of the circumscribed circle: A = pir2 = [(20 cm)(sin 45⁰)]2pi ≈ 628 cm2.
What is the area of the region bounded by its inscribe and circumscribe circle whose side of a square is 10cm?
If I understand your question correctly, you would need to subtract the area of the inscribed circle from the circumscribed circle. Which would approximately be 78.60cm squared.
F a polygon X is inscribed in an object Y then what can be said about each?
-- 'Y' is circumscribed about 'X' -- The area of 'X' is less than the area of 'Y'.
What is the area of a square inscribed in a circle of radius 10 cm?
The area of square is : 100.0
How did Archimedes estimate pi?
The approximate area of the circle lies between the areas of the circumscribed and the inscribed hexagons.
If you are given a square with a circle inscribed in it and the area of the square is 100 m what is the area of the circle?
78.53
There is a circle with an inscribed square. If the area of the square is 49 m2 what is the area of the circle?
the area of a square is 49m^2 what is the length of one of its sides
A square is inscribed in a circle of radius 7cm what is the area of the square?
98 cm^2
For a circle inscribed in a square what is the ratio of their areas?
For a circle inside a square, the diameter is the same as the side length, and the area of the circle is about 78.54% of the square's area (pi/4). A(c) = 0.7854 A(s) The area of the square is L x L. (For a square, L = W). The area of the circle is PI x R^2, where R = L/2. Let's express the area of the square using A = L x L = (2R) x (2R) = 4 R^2 So, the ratio of the area of the circle to that of the square is: pi/4 or about 0.7854.
A square is inscribed in a circle of radius 7cmFind the area of square and the area shaded?
The area of the square is 98 square cm. Assuming the shaded area is the remainder of the circle, its area is 55.9 square cm (approx).
